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Finding the Third Proportional to 491,703.50 and 742,078.50

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Solution

The third proportional to 491,703.50 and 742,078.50 is: 1,119,944.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,703.50 : 742,078.50 = 742,078.50 : x
  2. Step 2: Convert to fraction form
    491,703.50/742,078.50 = 742,078.50/x
  3. Step 3: Cross multiply
    491,703.50x = 742,078.50 × 742,078.50
  4. Step 4: Simplify right side
    491,703.50x = 550,680,500,162.25
  5. Step 5: Solve for x
    x = 550,680,500,162.25/491,703.50
  6. Step 6: Final answer
    x = 1,119,944.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.